A body A of mass M while falling vertically downwards under gravity breaks into two parts: a body B of mass `1/3 M` and a body C of mass `2/3 M` The centre of mass of bodies B and C taken together shifts compared to that of body A towards

Options

A. depends on height of breaking
B. does not shift
C. shift towards body C
D. shift towards body B

Answer

B

Explanation

Before breaking, the centre of mass of system is moving under gravity. Thus, acceleration of the centre of mass is gravitational acceleration. During breaking, internal force comes into play which are not responsible for the acceleration of the centre of mass.
This inducates that, the acceleration of centre of mass remains the same (equal to gravitational acceleration). thus, the center of mass of system continues its original path.